Is not the forum software, vBulletin based. Tapatalk is a service that is compatible with certain forum software. Since DF is based on a compatible software it is up to the Tapatalk devs to work out the problems.
If you want to try out the Tapatalk 2 Beta head on over to their forum. Sign up and download the beta. Then you can test it and give feedback.
Sent from my Galaxy Nexus using Tapatalk
Not sure about the Like system, but they have replied to me they reproduced the /QUOTE issue when replying to messages. And they will see about fixing it. YAY!!!
Also, I don't think it will be the version 2 release which is close to coming out, but then they are working on an ICS standard version.